Results for "Mathieu Avanzi"

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DisMo: A Morphosyntactic, Disfluency and Multi-Word Unit Annotator. An Evaluation on a Corpus of French Spontaneous and Read SpeechFeb 08 2018We present DisMo, a multi-level annotator for spoken language corpora that integrates part-of-speech tagging with basic disfluency detection and annotation, and multi-word unit recognition. DisMo is a hybrid system that uses a combination of lexical resources, ... More
On optimal joint reflective and refractive dividend strategies in spectrally positive Lévy processesJul 07 2016The expected present value of dividends is one of the classical stability criteria in actuarial risk theory. In this context, numerous papers considered threshold (refractive) and barrier (reflective) dividend strategies. These were shown to be optimal ... More
On optimal joint reflective and refractive dividend strategies in spectrally positive Lévy modelsJul 07 2016Nov 03 2016The expected present value of dividends is one of the classical stability criteria in actuarial risk theory. In this context, numerous papers considered threshold (refractive) and barrier (reflective) dividend strategies. These were shown to be optimal ... More
Isometries and Construction of Permutation ArraysNov 09 2009An (n,d)-permutation code is a subset C of Sym(n) such that the Hamming distance d_H between any two distinct elements of C is at least equal to d. In this paper, we use the characterisation of the isometry group of the metric space (Sym(n),d_H) in order ... More
The quantum SKdV$_{1,4}$ equation at $c=3$Oct 28 1996At $c=3$, two of the three integrable quantum $N=2$ supersymmetric Korteweg-de Vries equations become identical (SKdV$_1$ and SKdV$_4$). Quite remarkably, all their conservation laws can be written in closed form, which provides thus a simple constructive ... More
Special reductive groups over an arbitrary fieldMar 18 2014A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we ... More
Théorie des champs des contraintes et déformations en relativité générale et expansion cosmologique: Theory of stress and strain fields in general relativity and cosmological expansionSep 04 2012Sep 26 2014In this article we propose to add stress-energy tensor to the Einstein equations, assuming that the matter-energy and the metric space-time is nothing but a continuous medium with some elastic properties. We first give a general expression of the stress ... More
A new look at the cosmic ray positron fractionOct 26 2015The positron fraction in cosmic rays was found to be steadily increasing in function of energy, above $\sim$10 GeV. This behaviour contradicts standard astrophysical mechanisms, in which positrons are secondary particles, produced in the interactions ... More
Mars surface phase function constrained by orbital observationsAug 22 2012Feb 19 2013The photometric properties of the surface of Mars describe how remote measurements of surface reflectance can be linked to hemispherical albedo used for energy balance calculations. A simple Lambert model is frequently assumed for global data processing, ... More
Classification of Emergency ScenariosAug 12 2011In most of today's emergency scenarios information plays a crucial role. Therefore, information has to be constantly collected and shared among all rescue team members and this requires new innovative technologies. In this paper a classification of emergency ... More
Gluon Mass, Glueballs and Gluonic MesonsFeb 18 2011We review the phenomenological and theoretical evidences for dynamical gluon mass generation and the main features of the glueball spectrum in (pure gauge) Yang-Mills theories. The mixing between glueball and conventional $\bar q q$ states in $f_0$ scalar ... More
Consecutive ones property testing: cut or swapAug 23 2010Let C be a finite set of $N elements and R = {R_1,R_2, ..,R_m} a family of M subsets of C. The family R verifies the consecutive ones property if there exists a permutation P of C such that each R_i in R is an interval of P. There already exist several ... More
Structure and dynamics of liquid AsSe4 from ab initio molecular dynamics simulationMar 10 2014Structural and dynamical properties of AsSe4 liquids have been studied by ab initio molecular dynamics simulations as a function of temperature. Calculated neutron structure factors are in good agreement with experimental data. Results show the existence ... More
Probing sub-eV particles with polarized Helium 3Oct 01 2014Proceeding of the "Journ\'{e}es de Rencontre Jeunes Chercheurs" 2013. Measuring the depolarization rate of a $^3$He hyperpolarized gas is a sensitive method to probe hypothetical short-range spin-dependent forces. A dedicated experiment is being set up ... More
Gaussian distributions, Jacobi group and Siegel-Jacobi spaceSep 28 2014Let $\mathcal{N}$ be the space of Gaussian distribution functions over $\mathbb{R}$, regarded as a 2-dimensional statistical manifold parameterized by the mean $\mu$ and the deviation $\sigma$. In this paper we show that the tangent bundle of $\mathcal{N}$, ... More
The Joint Physics Analysis Center WebsiteJan 08 2016The Joint Physics Analysis Center is a collaboration between theorists and experimentalists working in hadronic physics. In order to facilitate the exchange of information between the different actors in hadron spectroscopy, we created an interactive ... More
Géométrie birationnelle équivariante des grassmanniennesJan 26 2010Let k be a field, and A a finite-dimensional k-algebra. Let d be an integer. Denote by Gr(d,A) the Grassmannian of d-subspaces of A (viewed as a k-vector space), and by GL_1(A) the algebraic k-group whose points are invertible elements of A. The group ... More
Estimating the conditional density by histogram type estimators and model selectionDec 22 2015Oct 25 2016We propose a new estimation procedure of the conditional density for independent and identically distributed data. Our procedure aims at using the data to select a function among arbitrary (at most countable) collections of candidates. By using a deterministic ... More
Carne--Varopoulos bounds for centered random walksSep 12 2005Jun 30 2006We extend the Carne--Varopoulos upper bound on the probability transitions of a Markov chain to a certain class of nonreversible processes by introducing the definition of a ``centering measure.'' In the case of random walks on a group, we study the connections ... More
Mixed Hodge Structures on the rational homotopy type of intersection spacesApr 19 2016Let $X$ a complex projective variety of complex dimension $n$ with only isolated singularities of simply connected links. We show that we can endow the rational cohomology of the family of the $\overline{p}$-perverse intersection spaces $\{ I^{\overline{p}}X ... More
Model independent analysis of heavy vector-like top partnersMay 11 2014Searches for new fermionic states heavier than the top quark are being pursued by the CMS & ATLAS collaborations, pushing the mass bounds towards the TeV scale. Although a chiral fourth generation of quarks is now excluded by the LHC results, models going ... More
Abelian categories in dimension 2Sep 10 2008The goal of this thesis is to define a 2-dimensional version of abelian categories, where symmetric 2-groups play the role that abelian groups played in 1-dimensional algebra. Abelian and 2-abelian groupoid enriched categories are defined and it is proved ... More
Reconstructing trajectories from the moments of occupation measuresApr 15 2014Moment optimization techniques have been recently proposed to solve globally various classes of optimal control problems. As those methods return truncated moment sequences of occupation measures, this paper explores a numeric method for reconstructing ... More
Changement de base pour les foncteurs TorMar 14 2003We give in this paper an isomorphism theorem between derived functors over categories of modules.There is a nice class of categories that gives examples in which this theorem applies for a special construction. This leads us to a new interpretation of ... More
Probability of hitting a distant point for the voter model started with a single oneSep 28 2006The goal of this work is to find the asymptotics of the hitting probability of a distant point for the voter model on the integer lattice started from a single 1 at the origin. In dimensions 2 or 3, we obtain the precise asymptotic behavior of this probability. ... More
Some steps on short bridges: Non-metrizable surfaces and CW-complexesMar 18 2011Sep 16 2011Among the classical variants of the Pr\"ufer surface, some are homotopy equivalent to a CW-complex (namely, a point or a wedge of a continuum of circles) and some are not. The obstruction comes from the existence of uncountably many `infinitesimal bridges' ... More
Commability of groups quasi-isometric to treesDec 01 2013Dec 17 2014Commability is the finest equivalence relation between locally compact groups such that $G$ and $H$ are equivalent whenever there is a continuous proper homomorphism $G \to H$ with cocompact image. Answering a question of Cornulier, we show that all non-elementary ... More
The W_k structure of the Z_k^(3/2) modelsJun 04 2009Generalized Z_k^(r/2) parafermionic theories - characterized by the dimension (r/2)(1-1/k) of the basic parafermionic field - provide potentially interesting quantum-Hall trial wavefunctions. Such wavefunctions reveal a W_k structure. This suggests the ... More
Evolution of cosmological perturbations in braneworld universesMar 03 2009In this thesis we mainly explore the evolution of both scalar and tensor cosmological perturbations in a Randall-Sundrum braneworld having an arbitrary expansion history. We adopt a four-dimensional perspective in which the localized degrees of freedom ... More
Conservation laws for colliding branes with induced gravitySep 26 2013Apr 29 2015We derive conservation laws for collisions of self-gravitating $n$-branes (or $n$-dimensional shells) in an $(n+2)$ dimensional spacetime including induced gravity on the brane. Previous work has shown how geometrical identities in general relativity ... More
Abelian 1-factorizations of complete multipartite graphsOct 03 2012An automorphism group G of a 1-factorization of the complete multipartite graph $K_{m\times n}$ consists in permutations of the vertices of the graph mapping factors to factors. In this paper, we give a complete answer to the existence or non-existence ... More
Generalization of Hasimoto's transformationApr 24 2012In this paper, we generalize the famous Hasimoto's transformation by showing that the dynamics of a closed unidimensional vortex filament embedded in a three-dimensional manifold of constant curvature gives rise under Hasimoto's transformation to the ... More
Comment on higher derivative Lagrangians in relativistic theoryMay 24 2013Aug 17 2013We discuss the consequences of higher derivative Lagrangians of the form $\alpha_1 A_{\mu}(x)\dot{x}^\mu$, $\alpha_2 G_{\mu}(x)\ddot{x}^\mu$, $\alpha_3 B_{\mu}(x)\dddot{x}^\mu$, $\alpha_4 K_{\mu}(x)\ddddot{x}^\mu$, $\cdots$, $U_{(n)\mu}(x)x^{(n)\mu}$ ... More
Topological Constraints and Rigidity of Network Glasses from Molecular Dynamics SimulationsJun 22 2015Due to its non-crystalline nature, the glassy state has remained one the most exciting scientific challenges. To study such materials, Molecular Dynamics (MD) simulations have been extensively used because they provide a direct view into its microscopic ... More
Feynman Path Integral approach to electron diffraction for one and two slits, analytical resultsOct 11 2011Mar 15 2012In this article we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulas, we exhibit various ... More
Identification of Mars gully activity types associated with ice compositionDec 16 2015The detection of geologically recent channels at the end of the twentieth century rapidly suggested that liquid water could have been present on Mars up to recent times. A mechanism involving melting of water ice during ice ages in the last several million ... More
A Rice-like theorem for primitive recursive functionsMar 17 2015We provide an explicit characterization of the properties of primitive recursive functions that are decidable or semi-decidable, given a primitive recursive index for the function. The result is much more general as it applies to any c.e. class of total ... More
On Integration Methods Based on Scrambled Nets of Arbitrary SizeAug 12 2014Jun 08 2015We consider the problem of evaluating $I(\varphi):=\int_{[0,1)^s}\varphi(x) dx$ for a function $\varphi \in L^2[0,1)^{s}$. In situations where $I(\varphi)$ can be approximated by an estimate of the form $N^{-1}\sum_{n=0}^{N-1}\varphi(x^n)$, with $\{x^n\}_{n=0}^{N-1}$ ... More
Mean-field limit of Bose systems: rigorous resultsOct 15 2015We review recent results about the derivation of the Gross-Pitaevskii equation and of the Bogoliubov excitation spectrum, starting from many-body quantum mechanics. We focus on the mean-field regime, where the interaction is multiplied by a coupling constant ... More
Geometric methods for nonlinear many-body quantum systemsSep 15 2010Dec 10 2010Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schr\"odinger operators. In this paper we provide a formalism which also allows to study nonlinear systems. We start by defining a weak topology ... More
The second local multiplier algebra of a separable C*-algebraOct 31 2011Several examples of (separable) C*-algebras with the property that their second (iterated) local multiplier algebra is strictly larger than the first have been found by various groups of authors over the past few years, thus answering a question originally ... More
Homotopy in non metrizable omega-bounded surfacesMar 21 2006Jun 30 2006We investigate the problem of describing the homotopy classes $[X,Y]$ of continuous functions between $\omega$-bounded non metrizable manifolds $X,Y$. We define a family of surfaces $X$ built with the first octant $C$ in $L^2$ ($L$ is the longline and ... More
The homotopy classes of continuous maps between some non-metrizable manifoldsMar 29 2004Let R be Alexandroff's long ray. We prove that the homotopy classes of continuous maps R^n \to R are in bijection with the antichains of P({1,...,n}). The proof uses partition properties of continuous maps R^n \to R. We also provide a description of $[X,R]$ ... More
Estimating the conditional density by histogram type estimators and model selectionDec 22 2015Feb 02 2016We propose a new estimation procedure of the conditional density for independent and identically distributed data. Our procedure aims at using the data to select a function among arbitrary (at most countable) collections of candidates. By using a deterministic ... More
Quenched invariance principles for random walks with random conductancesNov 20 2006Oct 16 2007We prove an almost sure invariance principle for a random walker among i.i.d. conductances in $\Z^d$, $d\geq 2$. We assume conductances are bounded from above but we dot require they are bounded from below.
Dissipation and nonlocality in a general expanding braneworld universeJul 26 2008Feb 18 2009We study the evolution of both scalar and tensor cosmological perturbations in a Randall-Sundrum braneworld having an arbitrary expansion history. We adopt a four dimensional point of view where the degrees of freedom on the brane constitute an open quantum ... More
Integrated volatility and round-off errorSep 04 2009We consider a microstructure model for a financial asset, allowing for price discreteness and for a diffusive behavior at large sampling scale. This model, introduced by Delattre and Jacod, consists in the observation at the high frequency $n$, with round-off ... More
Moduli of linear and abelian categoriesJul 17 2006Linear categories naturally have several identification relations : isomorphisms, categorical equivalences and Morita equivalences. In this thesis, we construct the classifying stacks for these three relations ($\ukcatiso$, $\ukcateq$, $\ukcatmor$) together ... More
The Powers of 9 and Related Mathematical Tables from BabylonJun 25 2013Jul 17 2014Late-Babylonian mathematics (450-100 BC), represented by some 60 cuneiform tablets from Babylon and Uruk, is incompletely known compared to its abundantly preserved, well-studied Old-Babylonian predecessor (1800-1600 BC). With the present paper, 16 fragments ... More
MotàMot project: conversion of a French-Khmer published dictionary for building a multilingual lexical systemMay 22 2014Economic issues related to the information processing techniques are very important. The development of such technologies is a major asset for developing countries like Cambodia and Laos, and emerging ones like Vietnam, Malaysia and Thailand. The MotAMot ... More
Log homogeneous compactifications of some classical groupsMar 18 2014We generalize in positive characteristics some results of Bien and Brion on log homogeneous compactifications of a homogeneous space under the action of a connected reductive group. We also construct an explicit smooth log homogeneous compactification ... More
Regge Amplitudes for Two-to-Two ReactionsNov 25 2013We present a fit based on Regge theory of two-to-two reactions at high energies particulary focused on leading non-strange positive naturality exchanges. Factorization of the residues is assumed between beam and target vertices. This study is a first ... More
Extremal loop weight modules for $U_q(\hat{sl}_\infty)$Sep 17 2013We construct by fusion product new irreducible representations of the quantum affinization $U_q(\hat{sl}_\infty)$. The action is defined via the Drinfeld coproduct and is related to the crystal structure of semi-standard tableaux of type $A_\infty$. We ... More
Differentiating the entropy of random walks on hyperbolic groupsSep 10 2012Jan 09 2015We show that the asymptotic entropy of a random walk on a nonelementary hyperbolic group, with symmetric and bounded increments, is differentiable and we identify its derivative as a correlation. We also prove similar results for the rate of escape.
A Collection of Problems on Spectrally Bounded OperatorsOct 15 2008We discuss several open problems on spectrally bounded operators, some new, some old, adding in a few new insights.
Virtually splitting the map from Aut(G) to Out(G)Jan 18 2013We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups. As a consequence ... More
On a symmetric space attached to polyzeta valuesOct 02 2008Quickly convergent series are given to compute polyzeta numbers. The formula involves an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatorics has a very simple geometric interpretation: it corresponds with the square ... More
A nonlinear variational problem in relativistic quantum mechanicsSep 13 2012We describe several recent results obtained in collaboration with P. Gravejat, C. Hainzl, E. S\'er\'e and J.P. Solovej, concerning a nonlinear model for the relativistic quantum vacuum in interaction with a classical electromagnetic field.
Poincaré duality for spaces with isolated singularitiesJul 27 2015Sep 24 2016In this paper we assign, under reasonable hypothesis, to each pseudomanifold with isolated singularities a rational Poincar\'e duality space. These spaces are constructed with the formalism of intersections spaces defined by Markus Banagl and are indeed ... More
Directions in Type I spacesApr 04 2014A direction in a Type I space $X=\cup_{\alpha<\omega_1}X_\alpha$ is a closed and unbounded subset $D$ of $X$ such that given any continuous $f:X\to\mathbb{L}_{\ge 0}$ (the closed long ray), if $f$ is unbounded on $D$ then $f$ is unbounded on each unbounded ... More
Curves of constant diameter and inscribed polygonsApr 14 2005Feb 10 2012A simple closed curve in the Euclidean plane is said to have property C_n(R) if at each point we can inscribe a unique regular $n$-gon with edges length $R$. C_2(R) is equivalent to having constant diameter. We show that smooth curves satisfying C_n(R) ... More
Toric varieties and spherical embeddings over an arbitrary fieldDec 03 2009Apr 14 2011We are interested in two classes of varieties with group action, namely toric varieties and spherical embeddings. They are classified by combinatorial objects, called fans in the toric setting, and colored fans in the spherical setting. We characterize ... More
Paths and partitions: combinatorial descriptions of the parafermionic statesMar 20 2009Jun 12 2009The Z_k parafermionic conformal field theories, despite the relative complexity of their modes algebra, offer the simplest context for the study of the bases of states and their different combinatorial representations. Three bases are known. The classic ... More
Open problems for the superKdV equationsMay 03 2000After a review of the basic results concerning the $N=1,2$ supersymmetric extensions of the Korteweg-de Vries equation, with a pedagogical presentation of the superspace techniques, we discuss some basic open problems mainly in relation with the N=2 extensions. ... More
Scaling approach to existence of long cycles in Casimir boxesOct 22 2008Apr 27 2009We analyse the concept of generalized Bose-Einstein condensation (g-BEC), known since 1982 for the perfect Bose gas (PBG) in the Casimir (or anisotropic) boxes. Our aim is to establish a relation between this phenomenon and two concepts: the concept of ... More
Non-Global Logarithms in Filtered Jet AlgorithmsFeb 24 2010May 10 2010We analytically and numerically study the effect of perturbative gluons emission on the "Filtering analysis", which is part of a subjet analysis procedure proposed two years ago to possibly identify a low-mass Higgs boson decaying into b\bar{b} at the ... More
Light Higgs searches at the LHC using jet substructureMay 13 2009Jun 26 2009It is widely believed that searching for a light Higgs boson (with a mass around 120 GeV) in the WH and ZH channels, where H decays into $b\bar{b}$, will be very challenging at the LHC. These proceedings describe how this channel can be recovered as a ... More
Remarks on the space of volume preserving embeddingsApr 14 2012Let (N,g) be a Riemannian manifold. For a compact, connected and oriented submanifold M of N. we define the space of volume preserving embeddings Emb_{\mu}(M,N) as the set of smooth embeddings f:M \rightarrow N such that f*\mu^{f}=\mu, where \mu^{f} (resp. ... More
On the flow-level stability of data networks without congestion control: the case of linear networks and upstream treesJun 11 2010Sep 07 2011In this paper, flow models of networks without congestion control are considered. Users generate data transfers according to some Poisson processes and transmit corresponding packet at a fixed rate equal to their access rate until the entire document ... More
Quantum extremal loop weight modules and monomial crystalsJul 13 2012May 01 2013In this paper we construct a new family of representations for the quantum toroidal algebras of type $A_n$, which are $\ell$-extremal in the sense of Hernandez [24]. We construct extremal loop weight modules associated to level 0 fundamental weights $\varpi_\ell$ ... More
Structural, vibrational and thermal properties of densified silicates : insights from Molecular DynamicsMar 27 2012Apr 03 2012Structural, vibrational and thermal properties of densified sodium silicate (NS2) are investigated with classical molecular dynamics simulations of the glass and the liquid state. A systematic investigation of the glass structure with respect to density ... More
The automorphism group of accessible groupsSep 30 2008Feb 08 2010In this article, we study the outer automorphism group of a group G decomposed as a finite graph of group with finite edge groups and finitely generated vertex groups with at most one end. We show that Out(G) is essentially obtained by taking extensions ... More
Robust estimation on a parametric model via testingAug 13 2013Mar 30 2016We are interested in the problem of robust parametric estimation of a density from $n$ i.i.d. observations. By using a practice-oriented procedure based on robust tests, we build an estimator for which we establish non-asymptotic risk bounds with respect ... More
Model selection for Poisson processes with covariatesDec 23 2011Jun 13 2013We observe $n$ inhomogeneous Poisson processes with covariates and aim at estimating their intensities. We assume that the intensity of each Poisson process is of the form $s (\cdot, x)$ where $x$ is the covariate and where $s$ is an unknown function. ... More
Heterogeneity in Distributed Live Streaming: Blessing or Curse?Sep 09 2009Distributed live streaming has brought a lot of interest in the past few years. In the homogeneous case (all nodes having the same capacity), many algorithms have been proposed, which have been proven almost optimal or optimal. On the other hand, the ... More
The group of unimodular automorphisms of a principal bundle and the Euler-Yang-Mills equationsApr 24 2012Given a principal bundle G \rightarrow P \rightarrow B (each being compact, connected and oriented) and a G-invariant metric h^{P} on P which induces a volume form \mu^{P}, we consider the group of all unimodular automorphisms SAut(P,\mu^{P}):={\varphi\in ... More
W[1]-hardness of some domination-like problems parameterized by tree-widthApr 15 2010Apr 03 2014The concept of generalized domination unifies well-known variants of domination-like and independence problems, such as Dominating Set, Independent Set, Perfect Code, etc. A generalized domination (also called $[\sigma,\rho]$-Dominating Set}) problem ... More
Splitting trees with neutral mutations at birthMay 14 2013May 17 2014We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individuals have i.i.d. (non-exponential) lifetime durations and give birth at constant ... More
Lévy processes conditioned on having a large height processJun 11 2011Mar 20 2012In the present work, we consider spectrally positive L\'evy processes $(X_t,t\geq0)$ not drifting to $+\infty$ and we are interested in conditioning these processes to reach arbitrarily large heights (in the sense of the height process associated with ... More
Limit theorems for supercritical age-dependent branching processes with neutral immigrationJul 30 2010Dec 01 2010We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate theta, new individuals singly enter the total population and start a new population which evolves like a supercritical, homogeneous, binary Crump-Mode-Jagers ... More
Bifurcation vers l'etat d'Abrikosov et diagramme des phasesDec 15 1999Sep 27 2000Nous \'etudions dans cette th\`ese la fonctionnelle de Ginzburg-Landau dans $\R^3$ sur des couples de fonctions $(\phi, \overrightarrow{A})$ qui v\'erifient des conditions de p\'eriodicit\'e de jauge en $x_3$ et selon un r\'eseau discret de $(x_1,x_2)$. ... More
Ideomotor feedback control in a recurrent neural networkFeb 14 2014Jan 18 2015The architecture of a neural network controlling an unknown environment is presented. It is based on a randomly connected recurrent neural network from which both perception and action are simultaneously read and fed back. There are two concurrent learning ... More
Simulations of room temperature ionic liquids: From polarizable to coarse-grained force fieldsMay 28 2015Room temperature ionic liquids (RTILs) are solvent with unusual properties, which are difficult to characterize experimentally because of their intrinsic complexity (large number of atoms, strong Coulomb interactions). Molecular simulations have therefore ... More
Extremal loop weight modules and tensor products for quantum toroidal algebrasMay 15 2013Jan 23 2015We define integrable representations of quantum toroidal algebras of type A by tensor product, using the Drinfeld "coproduct". This allow us to recover the vector representations recently introduced by Feigin-Jimbo-Miwa-Mukhin [6] and constructed by the ... More
The dimension of ergodic random sequencesJul 06 2011Jul 21 2011Let \mu be a computable ergodic shift-invariant measure over the Cantor space. Providing a constructive proof of Shannon-McMillan-Breiman theorem, V'yugin proved that if a sequence x is Martin-L\"of random w.r.t. \mu then the strong effective dimension ... More
La Grassmannienne non-linéaire comme variété fréchétique homogèneApr 28 2012Let (M,g) be a compact Riemannian manifold of dimension n. For k \in {0,...,n}, we denote Gr_{k}(M) the set of compact, connected and oriented submanifolds of M of dimension k. This set is called the non-linear Grassmannian. In this article, we endow ... More
A fussy revisitation of antiprotons as a tool for Dark Matter searchesOct 26 2015Oct 27 2015Antiprotons are regarded as a powerful probe for Dark Matter (DM) indirect detection and indeed current data from \PAMELA\ have been shown to lead to stringent constraints. However, in order to exploit their constraining/discovery power properly, great ... More
Grothendieck topologies from unique factorisation systemsFeb 06 2009Oct 22 2009This work presents a way to associate a Grothendieck site structure to a category endowed with a unique factorisation system of its arrows. In particular this recovers the Zariski and Etale topologies and others related to Voevodsky's cd-structures. As ... More
Comment on `Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez & M. MelgaardNov 18 2011In a recent paper published in Nonlinear Analysis: Theory, Methods & Applications, C. Argaez and M. Melgaard studied excited states for pseudo-relativistic multi-configuration methods. Their paper follows a previous work of mine in the non-relativistic ... More
Renormalization of Dirac's Polarized VacuumOct 01 2010We review recent results on a mean-field model for relativistic electrons in atoms and molecules, which allows to describe at the same time the self-consistent behavior of the polarized Dirac sea. We quickly derive this model from Quantum Electrodynamics ... More
Estimation of the transition density of a Markov chainOct 18 2012We present two data-driven procedures to estimate the transition density of an homogeneous Markov chain. The first yields to a piecewise constant estimator on a suitable random partition. By using an Hellinger-type loss, we establish non-asymptotic risk ... More
On Using Seeders for P2P Live StreamingApr 26 2011Seeders (peers that do not request anything but contribute to the system) are a powerful concept in peer-to-peer (P2P). They allow to leverage the capacities of a P2P system. While seeding is a natural idea for filesharing or video-on-demand applications, ... More
Notes on the od-Lindelöf propertyJun 04 2012Mar 22 2015A space is od-compact (resp. od-Lindel\"of) provided any cover by open dense sets has a finite (resp. countable) subcover. We first show with simple examples that these properties behave quite poorly under finite or countable unions. We then investigate ... More
Exponential families, Kahler geometry and quantum mechanicsMar 09 2012Exponential families are a particular class of statistical manifolds which are particularly important in statistical inference, and which appear very frequently in statistics. For example, the set of normal distributions, with mean {\mu} and deviation ... More
Remarks on the statistical origin of the geometrical formulation of quantum mechanicsFeb 06 2012A quantum system can be entirely described by the K\"ahler structure of the projective space P(H) associated to the Hilbert space H of possible states; this is the so-called geometrical formulation of quantum mechanics. In this paper, we give an explicit ... More
A new construction of p-adic Rankin convolutions in the case of positive slopeMar 02 2009May 19 2009Given two newforms $f$ and $g$ of respective weights $k$ and $l$ with $k<l$, Hida constructed a $p$-adic $L$-function interpolating the values of the Rankin convolution of $f$ and $g$ in the critical strip $l \leq s \leq k$. However, this construction ... More
The Painlevé analysis for N=2 super KdV equationsJun 28 2000Mar 19 2001The Painlev\'e analysis of a generic multiparameter N=2 extension of the Korteweg-de Vries equation is presented. Unusual aspects of the analysis, pertaining to the presence of two fermionic fields, are emphasized. For the general class of models considered, ... More
The su(N) XX modelSep 15 1997Dec 22 1997The natural su(N) generalization of the XX model is introduced and analyzed. It is defined in terms of the characterizing properties of the usual XX model: the existence of two infinite sequences of mutually commuting conservation laws and the existence ... More
Nonlocal conservation laws in N=1,2 Supersymetric KdV equationJan 19 1993The \nl \cls for the N=1 supersymmetric KdV equation are shown to be related in a simple way to powers of the fourth root of its Lax operator. This provides a direct link between the supersymmetry invariance and the existence of \nl conservation laws. ... More
Computability of probability measures and Martin-Lof randomness over metric spacesSep 06 2007Jul 23 2008In this paper we investigate algorithmic randomness on more general spaces than the Cantor space, namely computable metric spaces. To do this, we first develop a unified framework allowing computations with probability measures. We show that any computable ... More